Theodor Misiakiewicz

activity

20152026

most citedSpectrum of inner-product kernel matrices in the polynomial regime and multiple descent phenomenon in kernel ridge regression

9 citations · 21 across the 14 of their papers we have counts for

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math.PR2026

The anisotropic local law for sample covariance matrices under quadratic-form concentration

Renyuan Ma, Theodor Misiakiewicz

We study sample covariance matrices $K = \frac{1}{N} \sum_{i = 1}^{N} x_{i} x_{i}^{*} \in R^{n \times n}$ in the proportional regime $n ≍ N$ . The columns $ \m…

math.PR2026

The sharp SAT/UNSAT phase transition in random ellipsoid fitting

Theodor Misiakiewicz, Garrett G. Wen

Let $x_{1}, \dots, x_{n}$ be independent standard Gaussian vectors in $R^{d}$ . An \emph{ellipsoid fit} is a matrix $S ⪰ 0$ such that $x_{i}^{⊤} S x_{i} = d$ for every $i$ , so t…

math.PR2026

Dynamical mean-field limit and replica-symmetric free energy for the orthogonally-invariant SK model

Zhou Fan, Theodor Misiakiewicz, Leda Wang +1

We study a class of diffusion processes on $R^{n}$ interacting through a symmetric matrix $X \in R^{n \times n}$ . When eigenvectors of $X$ are Haar-uniform on the orth…